{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use(\"grayscale\")\n",
    "import numpy as np\n",
    "\n",
    "# 显示中文和负号\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1,20,100)\n",
    "I = np.cos(x) * np.log(x[:,np.newaxis] ** 20)\n",
    "\n",
    "plt.title(\"颜色条\")\n",
    "plt.xlabel(\"cos(x)\")\n",
    "plt.ylabel(\"log(x**20)\")\n",
    "\n",
    "plt.imshow(I,cmap=\"RdBu\")\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use(\"ggplot\")\n",
    "# plt.rcParams[\"font.SimHei\"] = ['fantasy']\n",
    "x = np.linspace(0,2*np.pi,100)\n",
    "\n",
    "plt.plot(x,np.cos(x),c=\"b\")\n",
    "plt.title(\"Text Example\",c=\"g\",fontsize=24,style=\"italic\")\n",
    "plt.xlim(0,np.pi*2)\n",
    "plt.xlim(-1,1)\n",
    "plt.yticks([-1,-0.5,0,0.5,1])\n",
    "plt.axis(\"tight\")\n",
    "# FONTNAME,:'serif', 'sans-serif', 'cursive', 'fantasy', 'monospace'\n",
    "# fontstyle:'normal', 'italic', 'oblique'\n",
    "plt.text(np.pi-1,0,\"Sunday\",size=24,c=\"r\",rotation=45,family=\"fantasy\",alpha=0.5,weight='bold',\n",
    "         bbox=dict(boxstyle=\"round\",fc='w',ec='k'))\n",
    "plt.text(1,-0.5,\"Great Dream\",size=20,c='m',family=\"monospace\",weight='bold',\n",
    "         bbox=dict(boxstyle=\"square\",fc='w',alpha=0.4,ec='#ff4400'));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Notation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use(\"ggplot\")\n",
    "x = np.linspace(0,2*np.pi,100)\n",
    "\n",
    "plt.plot(x,np.cos(x),c=\"b\")\n",
    "plt.title(\"Text Example\",c=\"g\",fontsize=24,style=\"italic\")\n",
    "plt.xlim(0,np.pi*2)\n",
    "plt.ylim(-1,1)\n",
    "plt.yticks([-1,-0.5,0,0.5,1])\n",
    "plt.annotate(s=\"Mininum(-1)\",xy=(np.pi,-1),xytext=(np.pi-2,-0.5),fontsize=16,family=\"fantasy\",\n",
    "            arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"angle,angleA=0,angleB=90,rad=10\",color=\"k\"));\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(120, 2)\n",
      "[1 1 0 1 0 0 0 2 1 0]\n"
     ]
    }
   ],
   "source": [
    "# via the sklearn library,generate two clusters and display them distribution\n",
    "from sklearn.datasets import make_blobs\n",
    "X,y= make_blobs(n_samples=[40,45,35],n_features=2,centers=None,random_state=0)\n",
    "\n",
    "print(X.shape)\n",
    "print(y[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_1 = X[y==0]\n",
    "d_2 = X[y==1]\n",
    "d_3 = X[y==2]\n",
    "plt.scatter(d_1[:,0],d_1[:,1],color='r',alpha=0.7,s=100,label=\"type1\")\n",
    "plt.scatter(d_2[:,0],d_2[:,1],color='g',alpha=0.7,s=100,label='type2')\n",
    "plt.scatter(d_3[:,0],d_3[:,1],color='b',alpha=0.7,s=100,label='type3')\n",
    "plt.xlabel('variable1',family='fantasy',fontsize=16)\n",
    "plt.ylabel('variable2',family='monospace',fontsize=16)\n",
    "plt.title('Three Clusters',fontsize=20,family='fantasy',c='m',style='italic')\n",
    "plt.legend(loc=\"lower left\")\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100,)"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# generate 100 math socres\n",
    "math_score1 = np.random.randint(70,100,50)\n",
    "math_score2 = np.random.randint(40,69,40)\n",
    "math_score3 = np.random.randint(5,39,10)\n",
    "math_scores = np.hstack((math_score1,math_score2,math_score3))\n",
    "math_scores.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x,y,z = plt.hist(math_scores,bins=10,range=(0,100),color='g',ec=\"k\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.  2.  3.  4. 12. 11. 17. 12. 18. 20.]\n",
      "[  0.  10.  20.  30.  40.  50.  60.  70.  80.  90. 100.]\n"
     ]
    }
   ],
   "source": [
    "print(x)\n",
    "print(y)\n",
    "x = x + 4\n",
    "y = y[:10] + 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rqVHjIbQFeuMa9G7zF9zpFUswsjNRQ55A+UmhhqqQBC6EC9F5V9FfLoRaXlhG/9Iur6lqeWF54TXw9MRY9BH6sjnzoAH02VPoDavxDG6KinrUtDiqC0ngQrgQvWopZGeiHn7MrvO3VdOWqFHPQE42xsKP0Vrb7bXvlK1Qw9/AMGj44mtSqMEOJIEL4SJ02hl0wkoIaIx6eJTdX19FDocO98Kenbb55c6Wsg0O/gBduuN9f1/nt18NSQIXwgVorTGW/gOsRVhG/xLlVdvubSiLBctzk6FeA/SyT9GpZ+zexq3o/HyM2AXg4YlltBRqsBdJ4EK4gh92wN4UWw/5vgcc1ozyC8Dy9G+goMA2tdBJBSB0/JeQcQEVNRLVJNQpbdYEksCFMJkuyLf1vj08sIyZ4PDd+FR4b1SfSDh1FL3iXw5tC0BfPG8r1ODrjxrqeitC3ZkkcCFMlvPVF3AhDTVgGCqkuVPaLC4A8fV/0T/udWhbxrJPobDgeqGGyu9kKsqSBC6EiXTGBS4v/RQa+KKGly3U4CiqTl1bAQgUxgLHFYDQ+7+3fXnZtgOqZ4RD2qjJJIELYSL9n4Xo/DxboYa69Zzatq0AxGjIuID+13y7v74uKrpeqEHZVpRKoQa7q/waXSFElehDe9E7vsHrnk4UPTDQlBjUsCfR+1LQ323C6NIdix17yXrDakg9jer3MKp5m1LnJv3fdI6crnhvc3s7fuoMzTo4vVmHkQQu3MaUKVNISEggMDCQxMREAN5++23WrVuHl5cXLVq04IMPPsDX17fMvRs2bGD69OkYhsHYsWN56aWXnB1+KdpqtS1qARpOfJ1Lt6my40jKwwPLC1Mw/jAZ/cU8dNsOqIDGVX+vf/c7rBfSGNMqmJcf/UWZa06dzzSlsELB0Q+d3qYjyRCKcBujR4/miy++KHWsX79+JCYmkpCQQOvWrfnkk0/K3Ge1Wvntb3/LP//5TzZs2EBcXBw//vijs8Iul076Gs6cQPWJpPbPOpsai2ocgnryBbh2BePT2WjDWuX3+vPHBrO+bwdWXC7kcKrze9o1hSRw4TZ69epFw4al98WOiIjA8/pufWFhYaSmppa5b9euXbRs2ZIWLVrg5eXFyJEjiY+Pd0rM5dE5l9FxX4B3XdtGUy5APRgF9/WCH/ei4+Oq9l4HNaL5gWS8mrdm5Jhxpr7X1Z0kcFFt/Pvf/2bAgAFljqelpZWqKRgcHEzaHdSWdBRboYZc1PCxKB8/0+K4ma0AxEvg649e/gX65NHbXn+r9zo1NZXgnAwALGNeJDg01NT3urqTBC6qhQ8//BBPT09GjSq7h0h5GzeZNSNCnzqK/ibeVqhhwFBTYrgV1eBGAYgi2yrNgoJyr7vte31oD+Rko3r0RV0fGpLZJ44jX2IKtxcbG0tCQgKxsbHlJovg4OBS1cBTU1MJCgpyZojATwo1jJlQpUINjqI63YeKHI5evxL9v2Vlzt/uvdZXr9Dkh285V2AtLtRg1ntdU0gPXLi1DRs2MHfuXBYuXIi3t3e513Tr1o3jx49z6tQpCgoKWL58OYMHD3ZypKC/2wRHDkDYA6iO3Zze/p1So8ZDSHP0txsg71rx8Yrea73y39xbS3PCsHA696qp73VN4XpdACFuITo6mm3btpGRkUF4eDhTp07lk08+IT8/nzFjbKsYw8LCePfdd0lLS+P1119n8eLFeHp68s477zBu3DgMw+DJJ5/kZz/7mVNj13lX0f9ZaCvU8IR9CjU4ivKqzcsnL7N12yEyC4oIDwtj6uuv3/a9nvrySywKsOIZFMzb771k6ntdk0gCF25j7ty5ZY6NHTu23GubNGnC4sWLi3+OjIwkMjLSYbFVRK9eBtkZqOFjUIGlhxTMWtQSEtCAt954rdxzcxd+jrE2Dr3sU+jaA8uYMbd8r4OCglj0QAc4sBvLky8w6N77GTT4IUeGLq6TBC7EHShvYcvKlSv54IMPOHz4MKtXr+bee8uvX5n43/8w440/YFUWxnZK5+WfnDdrUcu5A8tve14NGoHemww/7EAnxaMiHi7/wl3b4MBu6BwGXXs4IFJxKzIGLsQdKG9hS/v27fn73/9Or169bnmf1Wrlt//v/7GoR1s2LPoHy1etMn0R0Z1SFguWZydB3fro2H+g08oWgNAF+Rixn9oKNTz5gsw4cTJJ4ELcgfIWtrRr1462bdve9r5dy/5FS09oEdYDr579TF9EdLeUfyCWp6OvF4D4AF1UVOq8/vq/cCkdNWg4qklTk6KsuSSBC+EgurCQcytiCfH2wjLGthuf2YuIKkN1fxD1wEA4eQS9cknxcX0pHf31l+Drhxr2pIkR1lySwIVwEL0uDn05y7ZoJ7SkUIM7DjOosS9CYBB6zX/QP+4DsA2dFBagHpNCDWaRBC6qBX3sEHpPstlhFNMZF9GrYwn29yPVq2Sfb3dd2KK862J5/lVAYcz/C8ZX/4SUrdCmPapXf7PDq7EkgYtqwUhYgRH7D7TVanYoAOgvF0JBPt1++WuOnzpl+iIie1BtO9pqWl7ORP8vFgDL2F+55f9RVBeSwIXb01kZsHMzpJ3FePNFjBVLbD1yw37JPDo6mhEjRnD06FHCw8NZsmQJa9asITw8nOTkZMaPH8+4ceMASN2axPg5C6BFW2r1e6h4EVH//v0ZPny4ey9seTCq5M9t2qNatLn1tcLhZB64cHvG6qVwY8OqjAvolUtsX7bVb4DqeB90Drft8eHT8PYvdBvlLSICeOSRR0r9rA0rjdd9yaIe7WxlxCwW0xcR2dWWhJI/p55BX8lB1WtgXjw1nCRw4dZ0USFsWV/6YOdwVEN/9N4U9PYk2J6EBmjRFtU5DNU5DFr9DOXhYf94kuLhzHHUAwNRbdrb/fXNpIsKbc93w9Vc9Iolti84hSkkgQu3pr9ZB4U/2fb0wPeoGR+jxr8EZ0/aaj7uSYYjB9Anj6BXx0LdeqgO3aDL9d55w4Cqx5J7vVBDHW/UY89U+fVcjd65GbIzSx/btAbdfwgqWOaAm0ESuHBr5W15itWKEbsAj0kzoGlLVNOW8NAodN5VOPgDek8Kem8yOnkLJG+x9c6btkJ1CUN1CreN7VZiq1e9/Au4koN64jmUr2sUarAnnbi67MGb32vhdBX+LZ07dy4pKSn4+voya9YswLYn8Pr16/Hx8QFsGwqFhYU5NlIhfkIXFoI2wLsulr98WuFcZFWnLnTrherWy1bkIe2MbZhlb7KtlNiZ4+g1X0Idb+hwL6pzuG3Ixb9RxbGcOobeFA9NmqIGDrPXI7oUjzffNzsE8RMVJvD+/fvz8MMPM2fOnFLHhw4dyogRIxwWmBAV0Tu+gexMVNTIu15IopSyLbAJbgZRI9H5eXBoj61nvjcFdn2L3vWtrXce0vz62Hk4tO2IqlWr1GsZRw+iF30M2rheqKFWuW0KYW8VJvCOHTuSnp7ujFiEuGNaa/T6FaAsdunxqtp1oGsP1PXd9PT5cyXJ/NAe9No49No4qF0H2ne1JfROYahGTWxbrqaehnt7ojrdV+VYhLhTlR4Dj4+PJykpidatWzN+/Hjq169vz7iEuL0f98GpYxDeu8z+2vaggkJQQSEQORxdkA8/7rMl9H0psHs7evd2W++8URO4YNvbRDVrZfc4hLidSiXwwYMH8/jjjwOwdOlSPv/8c6Kjo+/o3purg9+tqtzrruSZy3dxwSyuAY3HPE9tZ7xHLVvBYFtPvyj1DNeSt5GXvJW85K3Fl6hNawj6xQQ8Gvg6Ph478PKqXeP+fill7tpFe7/flUrgN2+rGRkZybvvvnvH995cXPZuhISEVPpedyXPXD6dfg7juyRodQ8XfQNRTn+PLBDWB931fji4By5nAWDkZJP6txgsbjIvuqAgv8b9/dLaMLX9quS/8lTq11FmZslc0O3bt9OsWbNKBSVEZej1q0Br1KARpu7DoXduLk7excc2rUGnli18IIQjVNgDnz17Nvv37ycnJ4eJEycyevRo9u3bx4kTJ1BK0ahRI1580T16HML96au56C0J4BeICuttbiwyL1qYrMIEPnny5DLHBg4c6JBghKiI/mYd5Oehhj5ZqcU29iTzooXZZDdC4Ta01YpOXAVetVH9pOq5EJLAhfvYtQ0yLqB6R6LqybRVISSBC7dhJKwAQEUONzkSIVyDJHDhFvSxQ3D0oG21ZJNQs8MRwiVIAhduQV/vfVsGyf47QtwgCVy4PH3pgm3r16YtoX1Xs8MRwmVIAhcuT29YBYaBGjRSCugKcRNJ4MKl6bxr6KS10MAXdX9fs8MRwqVIAhcuTW9LhGtXUP2HoGp5mR2OEC5FErhwWdow0AkrwbMWqv8jFd8gRA0jCVy4rj07If0cqmcEyqdhxdcLUcNIAhcuy1i3HAAlUweFKJckcOGS9KljcGiPrbhw05ZmhyOES5IELlxS8cKdqJEmRyKE65IELlyOzs5E70iCJqHQKczscIRwWZLAhcvRG/8HRUWoyBEoi/wVFeJW5F+HcCm6IB+9cQ3UrY96YIDZ4Qjh0iSBC5dyZcMayL2MingIVbuO2eEI4dIkgQuXobUmZ/m/wMMDNWCY2eEI4fIkgQvXceB7ik4eQ4U/iPILMDsaIVyeJHDhMox11yvuRMnCHSHuhLllvYW4Tqeehr3JnKnrxzuffOH09kMCGvDWG685vV0zHTn8IxOm/t6Utk+dOUdIG1OarlYkgQuXoBNWAvC1ZyOKOjh/8c65A8ud3qbZrBYvU95rgLxjH5vSbnUjCVyYTudeRn+bCAGN2aP8zQ5HCLchY+DCdDopHgoKUJHD0VJxR4g7JglcmEoXFaI3rIY63qgHo8wORwi3IglcmErv3AJZGagHo1Dedc0ORwi3IglcmEZrbdt1UFlQA2XhjhB3SxK4MM/h/XDyCNzXE9WoidnRCOF2JIEL0xgJtql7lkGy57cQlSHTCIUp9IU0+P47aNEW2nYwOxxZ1CLckiRwYQq9fiVojYoaiXKBqYOyqEW4IxlCEU6nr11Fb0mAhv6o8N5mhyOE25IELpxOb14HeddQA4aiPGuZHY4QbksSuHAqbVhtwydeXqiIh80ORwi3VuEY+Ny5c0lJScHX15dZs2YBkJubS0xMDBcuXKBRo0a8+uqr1K9f3+HBimpg13dwKR0V8TCqXgOzoxHCrVXYA+/fvz9vvvlmqWNxcXF06dKFjz76iC5duhAXF+ewAEX1cmPqoBoke34LUVUVJvCOHTuW6V3v2LGDiIgIACIiItixY4djohPVij5+GI4cgC7dUU2amh2OEG6vUmPg2dnZ+Pn5AeDn58fly5ftGpSonnTxwh3pfQthD06fBx4SEmLKve7KVZ/ZarXSvXt3QkNDWbVqValz+fn5jB8/nuTkZAICAli6dClN63uTmryFWi3aEBT5iEvM/b6ZUjXv+3x5Zuez97/nSiVwX19fMjMz8fPzIzMzEx8fnzu+99y5c5VpkpCQkErf665c+Znnz59Py5YtycnJKRPjwoUL8fLyIikpieXLl/PKK68wd/ADYLVSFPEIqampJkV9a1obZofgdPLMzleV/FeeSv066t69O5s2bQJg06ZN9OjRo1JBCfd07tw51q9fz9ixY8s9v3btWp544gkAhg4dyubNmzE2fg0NfFG9+jsxUiGqtwp74LNnz2b//v3k5OQwceJERo8ezaOPPkpMTAyJiYkEBgYyZcoUZ8QqXMSMGTP43e9+R25ubrnn09LSinsMnp6eNKjlSWZ2NgGjfoGq5eXMUIWo1ipM4JMnTy73+PTp0+0ejHB969atIzAwkK5du7J169Zyr9Fal/zZMODaFZSnB2rAI84KU4gaoeZ9iyGqZOfOnaxdu5aePXsSHR3Nli1bePnll0tdExwcXDzWV7R7Ozl5+fj1iUT5+JkRshDVliRwcVfeeOMNkpOT+e6775g7dy59+vTh449L76Y3ePBgli1bBsCqv35M7wAfLFGy57cQ9iYJXNjFe++9x9q1awEYM2YMmZmZ9O55P3/fvJ1pQyJRzVqZHKEQ1Y/sBy4qrXfv3vTubdsO9vXXXy8+XqdOHf72t79hLPwQvWU9lsd/YVaIQlRrksDdVF5eHo899hj5+flYrVaGDrW6V6cAAA/LSURBVB3K1KlTS12Tn5/PpEmT2LNnD35+fvz1r3+lWbNmTolPX85Cf7cJGodAl3CntClETSNDKG6qdu3axMbGkpCQwNq1a9m4cSPJycmlrlmyZAm+vr5s2bKFCRMmMHPmTKfFpzeugaIi1KDhKIv8NRPCEeRflptSSlGvXj0AioqKKCwsLLM8vbwFNTdP8XMUXViA3vg/qFsP9cBAh7cnRE0lCdyNWa1WoqKi6Nq1K/369SMsLKzU+Z8uqPHx8SEzM9PhcentSZCTjer7EKqOt8PbE6KmkgTuxjw8PFi3bh07d+5k165dHDx4sNR5Z/S2f0prjV63HCwW1MChTm9fiJpEEng14OvrS+/evdm4cWOp46UW1BQVcfny5eJtgB1Fb1gNZ0+iwvug/Bs5tC0hajpJ4G7q0qVLZGdnA3Dt2jW++eYb2rRpU+qamxfUrF69mj59+jh8G1f9v//Y/hA5zKHtCCFkGqHbOn/+PJMnT8YwDAzDYPjw4URFRfHee+9x7733MnjwYMaMGcMrr7xCnz59aNiwIXPnzrV7HNpqhWOH0HtT0Lu/g+wM24kTR6FNB7u3J4QoIQncTXXs2LF45ePNyltQY2868xJ6Xwp6bzLs3w3XrthO3NS71yuXoHtFSOFiIRxIEngVnD17lkmTJnHhwgUsFgtPPfUUL7zwQqlrtNZMnz6dxMREvL29iYmJoUuXLiZFXDm6qBCOHkTvSUbvS4EzJ0pOBjRG9ewHHbqhv/grXM6yHb+Sg16xBDX2RVNiFqImkAReBZ6ensyYMYMuXbqQm5vLww8/TL9+/bjnnnuKr0lMTOT48eNs3ryZlJQU3njjjTIlyFyRvnQBvS8ZvScFDu6GvGu2E561oNN9qM7hqM5hEBSKUgrj2w0lyfvGa2xag+4/BBUsBYyFcARJ4FUQFBREUFAQAPXr16ddu3akpaWVSuDx8fE8/vjjKKUIDw8nOzub8+fPF9/nKnRhIRzeh96bjN6bAqmnS042DkH1jkR1Dod7OqNq1y57f+Lqsi9qtWLELsBj0gwHRi5EzSUJ3E5Onz7N3r17ue+++0odv3kxDdim9qWlpblEAtcX0koS9sEfoCDfdsLLC7p0R3UOs/W0GwdX+Foeb77v4GiFED8lCdwOrly5woQJE3jrrbdo0KD0l3blLaZx+FS+Y4fgSi7qJ5tI6YJ8+HGvbcbI3hQ4f7bkZHAzVKcwVJcwaNdJSp8J4QYkgVdRYWEhEyZM4Oc//zlDhgwpc/7mxTQAqampDu996/Wr0KePoTrci7p43tbL3pcCh/ZCYYHtotre0K2nLWl3DkMFmv9/BEKIuyMJvAq01rz22mu0bduWX/3qV+VeM3jwYBYuXMjIkSNJSUnBx8fHoQncSE9F7/wGDAP9+jPo3JySk6EtiodFaNsB5VnLYXEIIRxPEngV7Nixgy+//JIOHToQFRUFwLRp0zh71jY0MX78eCIjI0lMTKRPnz54e3vzwQcf2DUGrTWknr4+LJJsG8u+MWyTmwNde6Bu9LT9A+3athDCXNUigU+ZMoWEhAQCAwNJTEwsc95Rc7Hvv//+4mR9K0op/vjHP1a5rZvpa1fh4A8lX0BmXCg5afEAbS1pPzAIS9/Bdm1fCOEaqkUCHz16NM899xyTJk0q97y7zsW+QWsNZ0+UfPl4ZD9YryfpuvVRPfpCpzDIu4b+d+mVlzIXW4jqq1ok8F69enH69OlbnneXudg301dzubo5ASMpwfYFZNb1PUaUghZtS8ayW7ZDeXgAYP3j1LIvJHOxhai2qkUCr4grz8W+QRsGnD5eMixy7CCXDMN2sr4PqmcEdA5DdbwP5dOw3NeQudhC1Cw1IoGbMRf7TugrOeh9u2Bvsu2/N5aiKwWt7sHngf7ktmgHLdqgLB7mBiuEcDk1IoGbMRcbyi6o0YYBJ4+UzBg5fhj09V52A1/UAwOgcziqYzdUfR98Q0K4clPcQghxsxqRwJ09F/sGvX4V+uRhyMlC7f/e1svOvWw7abFAm/YlY9nNWkn1diHEXakWCTw6Oppt27aRkZFBeHg4U6dOpbCwEHDOXOybacMKxw9j7NwM2zfZDn72IRqgoT+qzyBbj7zDvai69R0WhxCi+qsWCbyiSjOOmIt9M52dafvicV+KrZd9Nbf0BV61UZNnoNp2comxdyFE9VAtEriz6aKi62XEkm1j2aePl5z0D4SwByBlK1y9XqmmIB92bkW162xOwEKIakkS+B3SGRevlxFLgQPfw7WrthOenrbhkBsFDoKbob/biN68rvT9sqBGCGFnksBvQRcVwpEDJfOyz54sORkYhOrZ3/blY/suqNp1St1rSHEDIYQTSAK/ib6UXlL38cAPkH+9jFgtL9sims7hqE5hEBRy27FsWVAjhHCGKiXw3/zmN9SpUweLxYKHhwd//vOf7RWXU+jCAlsZsT3X52WnnSk5GRR6fYpfmK2MmFfZMmJCCGGmKvfAZ8yYgY+Pjz1icYgyi2nSU0uGRQ7tuamMWG3b1qvXx7JVoyYmRi2EEBWr9kMoxvqVtt37ut4P+3dBemrJyeBmJQtp2nWUMmJCCLdS5QQ+c+ZMAKKiohg0aFCVA7InnZUBOzeDYcDG/10vI9YL1SXMVuAgoLHZIQohRKVVKYG//fbb+Pv7k52dzTvvvENISAgdO3a87T037wp4t+723uwNK7l8fUc/5V2P4L99iYebVaWpyvsl7pxSNW8bA3lm57P3v+cqJXB/f38AfH196dGjB0eOHKkwgZ+r5OZMISEhd3WvLirEWP2fkp+vXSH1s0+wjH2xUu2b4W6fWVSevrGpWA0iz+x8Vcl/5an0r6O8vDyuXbtW/OcffviB5s2bV/bl7E7v3AzZmaWPbVqDTj1zizuEEMK9VLoHnp2dzfvv2+Y7W61WHnzwQbp162a3wKpKy2IaIUQ1V+kEHhQUxHvvvWfPWOxKFtMIIaq7mvcthhBCVBOSwIUQwk1JAhdCCDdV7Vdiirs340+zOHcpx5S2T505R0gbU5oWwu1IAhdlnLuUQ1GHkaa0nXfsY1PaFcIdyRCKEEK4KUngQgjhpiSBCyGEm5IELoQQbkoSuBBCuClJ4EII4aYkgQshhJuSeeAubNL/TefI6TSnt3v81BmadXB6s0KIuyQJ3IWdOp9pyoKagqMfOr1NIcTdkyEUIYRwU5LAhRDCTUkCF0IINyUJXAgh3JQkcCGEcFOSwIUQwk1JAhdCCDcl88DvgFkVaqQ6jRDidiSB3wGzKtRIdRohxO3IEIoQQrgpSeBCCOGmJIELIYSbkgQuhBBuShK4EEK4KUngQgjhptxmGqFZxQ1AChwIIVyT2yRws4obgBQ4EEK4JhlCEUIINyUJXAgh3JQkcCGEcFNVGgP//vvv+eyzzzAMg8jISB599FF7xSWEEKICle6BG4bBggULePPNN4mJiWHLli2cOXPGnrEJIYS4jUon8CNHjtCkSROCgoLw9PSkd+/e7Nixw56xCSGEuI1KJ/CMjAwCAgKKfw4ICCAjI8MuQQkhhKiY0lrryty4bds2du/ezcSJEwFISkriyJEj/PKXv7RrgEIIIcpX6R54QEAAly5dKv750qVL+Pn52SUoIYQQFat0Am/Tpg2pqamkp6dTVFTE1q1b6d69uz1jE0IIcRuVHkIBSElJYdGiRRiGwYABAxg1apQ9YxNCCHEbVUrgQgghzCMrMYUQwk1JAhdCCDflFtvJVvcl+xcvXmTOnDlkZWWhlGLQoEEMGTKE3NxcYmJiuHDhAo0aNeLVV1+lfv36ZodrV4ZhMG3aNPz9/Zk2bRrp6enMnj2b3NxcWrVqxcsvv4ynp1v8Nb0jV65cYd68eZw+fRqlFL/+9a8JCQmp1p/zqlWrSExMRClFs2bNiI6OJisrq1p9znPnziUlJQVfX19mzZoFcMt/v1prPvvsM3bt2kXt2rWJjo6mdevWlWtYuzir1apfeuklnZaWpgsLC/XUqVP16dOnzQ7LrjIyMvTRo0e11lpfvXpVv/LKK/r06dN68eLF+quvvtJaa/3VV1/pxYsXmxmmQ6xcuVLPnj1b/+lPf9Jaaz1r1iy9efNmrbXW8+fP1/Hx8WaGZ3cff/yxTkhI0FprXVhYqHNzc6v153zp0iUdHR2t8/Pztda2z3fDhg3V7nPet2+fPnr0qJ4yZUrxsVt9rsnJyXrmzJnaMAx96NAh/cYbb1S6XZcfQqkJS/b9/PyKfwN7e3sTGhpKRkYGO3bsICIiAoCIiIhq99yXLl0iJSWFyMhIALTW7Nu3j169egHQv3//avXMV69e5cCBAwwcOBAAT09P6tWrV+0/Z8MwKCgowGq1UlBQQMOGDavd59yxY8cy/9d0q891586d9OvXD6UU99xzD1euXCEzM7NS7br8/7OUt2T/8OHDJkbkWOnp6Rw/fpy2bduSnZ1dvDjKz8+Py5cvmxydfS1cuJBf/OIXXLt2DYCcnBzq1q2Lh4cHAP7+/tVqe4b09HR8fHyYO3cuJ0+epHXr1jz77LPV+nP29/dn+PDh/PrXv8bLy4t7772X1q1bV+vP+YZbfa4ZGRkEBgYWX3djG5LKLIR0+R64LmeWo1LKhEgcLy8vj1mzZvHss89St25ds8NxqOTkZHx9fSs/9ueGrFYrx48fZ/DgwfzlL3+hdu3axMXFmR2WQ+Xm5rJjxw7mzJnD/PnzycvL4/vvvzc7LFPZM6e5fA+8pizZLyoqYtasWfTt25eePXsC4OvrS2ZmJn5+fmRmZuLj42NylPZz6NAhdu7cya5duygoKODatWssXLiQq1evYrVa8fDwICMjA39/f7NDtZuAgAACAgJo164dAL169SIuLq5af8579uyhcePGxc/Us2dPDh06VK0/5xtu9bkGBARw8eLF4uuqktNcvgdeE5bsa62ZN28eoaGhDBs2rPh49+7d2bRpEwCbNm2iR48eZoVod+PGjWPevHnMmTOHyZMn07lzZ1555RU6derEt99+C8DGjRur1WfdsGFDAgICOHfuHGBLbk2bNq3Wn3NgYCCHDx8mPz8frXXxM1fnz/mGW32u3bt3JykpCa01P/74I3Xr1q10AneLlZjVfcn+wYMHmT59Os2bNy/+X6mxY8fSrl07YmJiuHjxIoGBgUyZMqVaTS+7Yd++faxcuZJp06Zx/vz5MtPLatWqZXaIdnPixAnmzZtHUVERjRs3Jjo6Gq11tf6cY2Nj2bp1Kx4eHrRs2ZKJEyeSkZFRrT7n2bNns3//fnJycvD19WX06NH06NGj3M9Va82CBQvYvXs3Xl5eREdH06ZNm0q16xYJXAghRFkuP4QihBCifJLAhRDCTUkCF0IINyUJXAgh3JQkcCGEcFOSwIUQwk1JAhdCCDclCVwIIdzU/wdGknaoexUXIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(math_scores,bins=10,range=(0,100),color='steelblue',ec=\"k\")\n",
    "plt.plot(y,x,marker=\"^\")\n",
    "for i in range(10):\n",
    "    plt.text(y[i]-3,x[i]+1,x[i]-4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(math_scores,bins=10,range=(0,100),color='m',ec=\"k\",density=True)\n",
    "plt.xticks(y)\n",
    "plt.xlabel(\"scores\",family=\"fantasy\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(math_scores,bins=10,range=(0,100),color='y',ec=\"k\",density=True,\n",
    "         orientation=\"horizontal\",rwidth=0.8)\n",
    "plt.yticks(y)\n",
    "plt.xticks(rotation=45)\n",
    "plt.ylabel(\"scores\",family=\"fantasy\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x2 = np.random.randint(50,70,size=12)\n",
    "plt.hist(math_scores,bins=10,range=(0,100),ec=\"k\",alpha=0.4)\n",
    "plt.hist(x2,bins=10,range=(0,100),ec='k',alpha=0.4)\n",
    "plt.xticks(y)\n",
    "plt.ylabel(\"scores\",family=\"fantasy\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 条形图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = ['G1', 'G2', 'G3', 'G4', 'G5']\n",
    "men_means = [20, 34, 30, 35, 27]\n",
    "women_means = [25, 32, 34, 20, 25]\n",
    "\n",
    "x = np.arange(len(labels)) # the label locations\n",
    "width = 0.4\n",
    "\n",
    "fig,ax =plt.subplots()\n",
    "ax.bar(x-width/2,men_means,width=width,label='Men')\n",
    "ax.bar(x+width/2,women_means,width=width,label='Women')\n",
    "\n",
    "ax.set_ylabel(\"Scores\")\n",
    "ax.set_title('Scores by group and gender')\n",
    "ax.set_xticks(x)\n",
    "ax.set_xticklabels(labels)\n",
    "ax.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 饼图或者甜甜圈"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [],
   "source": [
    "recipe = [\"375 g flour\",\n",
    "          \"75 g sugar\",\n",
    "          \"250 g butter\",\n",
    "          \"300 g berries\"]\n",
    "weight = [float(r.split()[0]) for r in recipe]\n",
    "ingredient = [r.split()[-1] for r in recipe]\n",
    "# print(weight)\n",
    "# print(ingredient)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use(\"fivethirtyeight\")\n",
    "fig,ax = plt.subplots(figsize=(6,3))\n",
    "\n",
    "def func(pct, allvals):\n",
    "    absolute = int(pct/100.0 * np.sum(allvals))\n",
    "    return \"{:.1f}%\\n({:d}g)\".format(pct, absolute)\n",
    "\n",
    "\n",
    "wedges,texts,autotexts= ax.pie(weight,autopct=lambda pct: func(pct, weight),textprops=dict(c='w',fontsize=10),\n",
    "                              explode=[0,0.1,0,0],shadow=True)\n",
    "\n",
    "# bbox_to_anchor:(x, y, width, height) \n",
    "ax.legend(wedges,ingredient,title=\"Ingredients\",loc=\"center right\",\n",
    "         bbox_to_anchor=(1.2,0,0.5,1),fancybox=True,prop=dict(family=\"fantasy\",size=12,style=\"oblique\"))\n",
    "ax.set_title(\"Matplotlib bakery:A pie\",family=\"fantasy\")\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 误差线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,10,30)\n",
    "y = np.random.rand(30)*4\n",
    "dy=0.5\n",
    "\n",
    "plt.errorbar(x,y,yerr=dy,ecolor=\"lightgray\",fmt=\"ob\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
